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Finding the Third Proportional to 205,533 and 448,319

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Solution

The third proportional to 205,533 and 448,319 is: 977,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,533 : 448,319 = 448,319 : x
  2. Step 2: Convert to fraction form
    205,533/448,319 = 448,319/x
  3. Step 3: Cross multiply
    205,533x = 448,319 × 448,319
  4. Step 4: Simplify right side
    205,533x = 200,989,925,761
  5. Step 5: Solve for x
    x = 200,989,925,761/205,533
  6. Step 6: Final answer
    x = 977,896.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.